Noncommutative Gröbner Bases and Filtered-Graded Transfer
- ISBN-10
- 3540441964
- ISBN-13
- 9783540441960
- Category
- Computers
- Pages
- 216
- Language
- English
- Published
- 2002-10-23
- Publisher
- Springer Science & Business Media
- Author
- Huishi Li
Description
This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.
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